Edit Profile (opens in new tab) Sodin, Mikhail Co-Author Distance Author ID: sodin.mikhail Published as: Sodin, M. L.; Sodin, Mikhail; Sodin, M.; Sodin, M. I. more...less External Links: MGP Documents Indexed: 134 Publications since 1981, including 4 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 42 Reviews Co-Authors: 90 Co-Authors with 113 Joint Publications 2,277 Co-Co-Authors all top 5 Co-Authors 23 single-authored 28 Alexandre Eremenko 19 Nazarov, Fedor L. 14 Yuditskii, Peter Meerovich 12 Borichev, Aleksandr Aleksandrovich 9 Gol’dberg, Anatoliĭ Asirowitsch 7 Volberg, Alexander Lvovich 6 Matsaev, Vladimir Igorevich 6 Ostrovskiĭ, Iosif Vladimirovich 4 Levin, Genadi M. 4 Nishry, Alon 4 Polterovich, Leonid Viktorovich 4 Tsirelson, Boris 3 Atzmon, Aharon 3 Buhovsky, Lev 3 Favorov, Sergeĭ Yur’evich 3 Fel’dman, Gennadiĭ Mikhaĭlovich 3 Giner, V. B. 3 Grishin, Anatoliĭ Filippovich 3 Logunov, Alexander Andreevich 3 Marchenko, Vladimir Aleksandrovich 3 Podoshev, L. R. 2 Azarin, Vladimir S. 2 Benatar, Jacques 2 Buckley, Jeremiah 2 Gordevs’kyĭ, Vyacheslav Dmytrovych 2 Ilyunin, O. K. 2 Kononova, Anna Aleksandrovna 2 Korobov, Valeriĭ Ivanovych 2 Malyutin, Konstantin Gennad’evich 2 Milman, Vitali D. 2 Novikov, Boris V. 2 Pastur, Leonid Andreevich 2 Rezunenko, Oleksandr V”yacheslavovych 2 Ronkin, Lev Isaakovich 2 Shea, Daniel F. 2 Sklyar, Grigory Mikhailovitch 2 Strochik, N. N. 2 Tkachenko, Vadim Aleksandrovich 2 Wennman, Aron 2 Yakir, Oren 1 Agranovich, Polina Zalmanovna 1 Azarin, V. A. 1 Belitskii, Genrich R. 1 Blokh, Alexander M. 1 Bobrovskij, Yu. A. 1 Brooks, Robert Wolfe 1 Brudnyi, Yuri A. 1 Chistyakov, Gennadiĭ Petrovich 1 Drinfeld, Vladimir Gershonovich 1 Fryntov, A. E. 1 Fuglede, Bent 1 Gandel’, Yuriy Vladimirovich 1 Glücksam, Adi 1 Gorin, Evgeniĭ Alekseevich 1 Grinberg, Victor S. 1 Il’inskii, A. I. 1 Jitomirskaya, Svetlana Yakovlevna 1 Katsnel’son, Viktor Èmmanuilovich 1 Kirillov, A. A. senior 1 Kiro, Avner 1 Kirzhner, Valery M. 1 Kuchment, Peter A. 1 Kulikov, Aleksei 1 Levin, Boris Yakovlevich 1 Lin, Vladimir Ya. 1 Logvinenko, Vladimir Nikolaevich 1 Lyubich, Mikhail 1 Lyubich, Yuriĭ Il’ich 1 Malinnikova, Eugenia 1 Marchenko, Ivan Ivanovich 1 Markus, Alexander S. 1 Mats, A. D. 1 Mityagin, Boris Samuilovich 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Ostorvskij, M. I. 1 Peled, Ron 1 Pinchover, Yehuda 1 Pogorelov, Alekseĭ Vasil’evich 1 Pokrovskiĭ, Valeriĭ Leonidovich 1 Rapoport, A. Ya. 1 Reich, Simeon 1 Russakovskiĭ, Aleksandr Mironovich 1 Shatalova, Oksana A. 1 Spitkovsky, Ilya Matvey 1 Tomilov, Yuri 1 Vershik, Anatoliĭ Moiseevich 1 Zaidenberg, Mikhail G. 1 Zalcman, Lawrence Allen 1 Zhitomirskiĭ, Yakov Isaakovich 1 Zholtkevich, G. N. all top 5 Serials 8 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 7 Journal d’Analyse Mathématique 6 Israel Journal of Mathematics 6 Journal of Soviet Mathematics 5 St. Petersburg Mathematical Journal 5 Matematicheskaya Fizika, Analiz, Geometriya 4 Communications in Mathematical Physics 4 Journal of Statistical Physics 3 Ukrainian Mathematical Journal 3 American Journal of Mathematics 3 Mathematica Scandinavica 3 Siberian Mathematical Journal 3 Soviet Mathematics. Doklady 3 IMRN. International Mathematics Research Notices 3 Russian Academy of Sciences. Doklady. Mathematics 3 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 3 Journal of Mathematical Physics, Analysis, Geometry 2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 2 Russian Mathematical Surveys 2 Functional Analysis and its Applications 2 Journal of Functional Analysis 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Complex Variables. Theory and Application 2 Algebra i Analiz 2 Geometric and Functional Analysis. GAFA 2 Journal of Mathematical Sciences (New York) 2 Israel Mathematical Conference Proceedings 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the American Mathematical Society 1 Probability Theory and Related Fields 1 The Journal of Geometric Analysis 1 Automation and Remote Control 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Mathematical Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Translations. Series 2. American Mathematical Society all top 5 Fields 87 Functions of a complex variable (30-XX) 24 Potential theory (31-XX) 22 Probability theory and stochastic processes (60-XX) 11 Operator theory (47-XX) 10 History and biography (01-XX) 9 Approximations and expansions (41-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 5 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,008 times in 657 Documents Cited by ▼ Year ▼ On the number of nodal domains of random spherical harmonics. Zbl 1186.60022 Nazarov, Fedor; Sodin, Mikhail 91 2009 Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions. Zbl 1041.47502 Sodin, Mikhail; Yuditskii, Peter 86 1997 Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions. Zbl 1358.60057 Nazarov, F.; Sodin, M. 86 2016 Random complex zeroes. I: Asymptotic normality. Zbl 1072.60043 Sodin, Mikhail; Tsirelson, Boris 61 2004 Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum. Zbl 0846.34024 Sodin, Mikhail; Yuditskij, Peter 36 1995 Random complex zeroes. III: Decay of the hole probability. Zbl 1130.60308 Sodin, Mikhail; Tsirelson, Boris 31 2005 The geometric Kannan-Lovász-Simonovits lemma, dimension-free estimates for the distribution of the values of polynomials, and the distribution of the zeros of random analytic functions. Zbl 1030.60040 Nazarov, F.; Sodin, M.; Vol’berg, A. 29 2003 Functions deviating least from zero on closed subsets of the real axis. Zbl 0791.41021 Sodin, M. L.; Yuditskij, P. M. 27 1992 Correlation functions for random complex zeroes: Strong clustering and local universality. Zbl 1238.60059 Nazarov, F.; Sodin, M. 24 2012 Zeros of Gaussian analytic functions. Zbl 0986.60065 Sodin, M. 23 2000 Fluctuations in random complex zeroes: asymptotic normality revisited. Zbl 1242.60051 Nazarov, F.; Sodin, M. 23 2011 The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line. Zbl 0959.44011 Borichev, Alexander; Sodin, Mikhail 21 1998 Lectures on random nodal portraits. Zbl 1388.60093 Sodin, Mikhail 18 2016 Random complex zeroes and random nodal lines. Zbl 1296.30005 Nazarov, Fedor; Sodin, Mikhail 17 2011 Transportation to random zeroes by the gradient flow. Zbl 1153.60027 Nazarov, Fedor; Sodin, Mikhail; Volberg, Alexander 17 2007 Zeroes of Gaussian analytic functions. Zbl 1073.60058 Sodin, Mikhail 16 2005 Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026 Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail 16 2005 Lower bounds for quasianalytic functions. I: How to control smooth functions. Zbl 1064.30032 Nazarov, F.; Sodin, M.; Volberg, A. 16 2004 The value distribution of meromorphic functions and meromorphic curves from the point of view of potential theory. Zbl 0791.30028 Eremenko, A. Eh.; Sodin, M. L. 16 1991 Weighted exponential approximation and non-classical orthogonal spectral measures. Zbl 1229.41018 Borichev, Alexander; Sodin, Mikhail 15 2011 The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes. Zbl 1221.30008 Nazarov, F.; Sodin, M.; Volberg, A. 14 2008 Random complex zeroes. II. Perturbed lattice. Zbl 1125.60033 Sodin, Mikhail; Tsirelson, Boris 12 2006 What is …a Gaussian entire function? Zbl 1198.30004 Nazarov, Fedor; Sodin, Mikhail 12 2010 A growth gap for diffeomorphisms of the interval. Zbl 1056.37027 Polterovich, Leonid; Sodin, Mikhail 11 2004 Another approach to De Branges’ theorem on weighted polynomial approximation. Zbl 0897.41005 Sodin, Mikhail; Yuditskii, Peter 11 1997 Functions least deviating from zero on closed subsets of the real axis. Zbl 0766.41019 Sodin, M. L.; Yuditskij, P. M. 11 1992 A Ruelle operator for a real Julia set. Zbl 0749.58039 Levin, G. M.; Sodin, M. L.; Yuditskij, P. M. 11 1991 Krein’s entire functions and the Bernstein approximation problem. Zbl 0989.41003 Borichev, Alexander; Sodin, Mikhail 9 2001 Log-integrability of Rademacher Fourier series, with applications to random analytic functions. Zbl 1304.42014 Nazarov, F.; Nishry, A.; Sodin, M. 9 2014 Value distribution of meromorphic functions and meromorphic curves from the point of view of potential theory. Zbl 0748.30026 Eremenko, A. Eh.; Sodin, M. L. 9 1991 Eigenfunctions with infinitely many isolated critical points. Zbl 1459.35295 Buhovsky, Lev; Logunov, Alexander; Sodin, Mikhail 9 2020 Fluctuations in the number of nodal domains. Zbl 1455.60060 Nazarov, Fedor; Sodin, Mikhail 9 2020 Which perturbations of quasianalytic weights preserve quasianalyticity? How to use de Branges’ theorem. Zbl 0867.41009 Sodin, Mikhail 8 1996 Translation-invariant probability measures on entire functions. Zbl 1435.30012 Buhovsky, Lev; Glücksam, Adi; Logunov, Alexander; Sodin, Mikhail 8 2019 Hole probability for zeroes of Gaussian Taylor series with finite radii of convergence. Zbl 1454.30001 Buckley, Jeremiah; Nishry, Alon; Peled, Ron; Sodin, Mikhail 8 2018 Fluctuations of the increment of the argument for the Gaussian entire function. Zbl 1373.60068 Buckley, Jeremiah; Sodin, Mikhail 8 2017 Algebraic solution of a problem of E. I. Zolotarev and N. I. Akhiezer on polynomials with smallest deviation from zero. Zbl 0839.41004 Sodin, M. L.; Yuditskij, P. M. 8 1991 Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type. Zbl 0945.47012 Atzmon, A.; Sodin, M. 7 1999 Spectra of stationary processes on \(\mathbb{Z}\). Zbl 1405.60045 Borichev, Alexander; Sodin, Mikhail; Weiss, Benjamin 7 2018 Value distribution of sequences of rational functions. Zbl 0793.30026 Sodin, M. 7 1992 Local dimension-free estimates for volumes of sublevel sets of analytic functions. Zbl 1031.32008 Nazarov, F.; Sodin, M.; Volberg, A. 6 2003 Ruelle operators with rational weights for Julia sets. Zbl 0988.37026 Levin, G.; Sodin, M.; Yuditskii, P. 6 1994 Spectral inclusion and analytic continuation. Zbl 1015.46028 Atzmon, A.; Eremenko, A.; Sodin, M. 6 1999 Distribution of Hilbert transforms of measures. Zbl 0948.44001 Matsaev, V.; Sodin, M. 6 2000 The ray growth, distribution of roots with respect to arguments of an entire function of a finite order and a certain uniqueness theorem. Zbl 0681.30016 Grishin, A. F.; Sodin, M. L. 6 1988 Asymptotics of Fourier and Laplace transforms in weighted spaces of analytic functions. Zbl 1044.42003 Matsaev, V.; Sodin, M. 5 2003 The limit-periodic finite-difference operator on \(l^ 2(\mathbf Z)\) associated with iterations of quadratic polynomials. Zbl 1086.37519 Sodin, M.; Yuditski, P. 5 1990 Almost-periodic Sturm-Liouville operators with homogeneous spectrum. Zbl 0844.34089 Sodin, Mikhail; Yuditskij, Peter 5 1996 Polynomials with the nonconnected Julia set and the Green mapping. Zbl 0792.30019 Levin, G. M.; Sodin, M. L. 5 1992 Anatolii Asirovich Gol’dberg. Zbl 1054.01007 Eremenko, A.; Ostrovskii, I.; Sodin, M. 5 1998 Entire functions of exponential type represented by pseudo-random and random Taylor series. Zbl 1387.30031 Borichev, Alexander; Nishry, Alon; Sodin, Mikhail 5 2017 Variations on the theme of Marcinkiewicz’ inequality. Zbl 1043.31002 Matsaev, V.; Ostrovskii, I.; Sodin, M. 4 2002 Lars Ahlfors’ thesis. Zbl 1004.30019 Sodin, Mikhail 4 2000 Weighted polynomial approximation and the Hamburger moment problem. Zbl 0978.44003 Borichev, Alexander; Sodin, Mikhail 4 1999 Nodal inequalities on surfaces. Zbl 1127.58029 Polterovich, Leonid; Sodin, Mikhail 4 2007 Uniformly spread measures and vector fields. Zbl 1288.28001 Sodin, M.; Tsirelson, B. 4 2010 Parametrization of entire functions of sine-type by their critical values. Zbl 0770.30021 Eremenko, A. E.; Sodin, M. L. 4 1992 A discrete harmonic function bounded on a large portion of \({\mathbb{Z}^2}\) is constant. Zbl 1494.31002 Buhovsky, Lev; Logunov, Alexander; Malinnikova, Eugenia; Sodin, Mikhail 4 2022 A note on the Hall-Mergelyan theme. Zbl 0872.44004 Sodin, Mikhail 3 1996 Hahn decomposition for the Riesz charge of \(\delta\) subharmonic functions. Zbl 1023.31005 Sodin, Mikhail 3 1998 Iterations of rational functions and the distribution of the values of the Poincaré functions. Zbl 0784.30019 Eremenko, A. Eh.; Sodin, M. L. 3 1990 Proof of a conditional theorem of Littlewood on the value distribution of entire functions. Zbl 0627.30025 Eremenko, A. Eh.; Sodin, M. L. 3 1987 Notes on the Szegő minimum problem. I: Measures with deep zeroes. Zbl 1461.30085 Borichev, Alexander; Kononova, Anna; Sodin, Mikhail 3 2020 Distribution of zeroes of Rademacher Taylor series. Zbl 1352.30001 Nazarov, Fedor; Nishry, Alon; Sodin, Mikhail 3 2016 On functions \(K\) and \(E\) generated by a sequence of moments. Zbl 1383.30011 Kiro, Avner; Sodin, Mikhail 3 2017 A remark to the definition of Nevanlinna matrices. Zbl 0882.30017 Sodin, Mikhail 2 1996 Proof of a conditional theorem of Littlewood on the distribution of values of entire functions. Zbl 0638.30029 Erëmenko, A. Eh.; Sodin, M. L. 2 1988 An elementary proof of Benedicks’ and Carleson’s estimates of harmonic measure of linear sets. Zbl 0808.30017 Sodin, Mikhail 2 1994 Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type: Addendum. Zbl 0989.47010 Atzmon, A.; Sodin, M. 2 2000 On the distribution of zeros of a Ruelle zeta-function. Zbl 0788.58045 Eremenko, A.; Levin, G.; Sodin, M. 2 1994 Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum and pseudoextendible Weyl functions. Zbl 0868.34063 Sodin, M. L.; Yuditskij, P. M. 2 1994 Entire functions and compact operators with \(S_p\)-imaginary component. Zbl 1057.47505 Matsaev, Vladimir; Sodin, Mikhail 2 2001 Algebraic solution of problems of E.I. Zolotarev and N.I. Akhiezer on polynomials least deviating from zero. Zbl 0761.41006 Sodin, M. L.; Yuditskij, P. M. 2 1991 On the Riesz charge of the lower envelope of \(\delta\)-subharmonic functions. Zbl 1081.31500 Eremenko, Alexandre; Fuglede, Bent; Sodin, Mikhail 2 1992 Minimum of the modulus of an entire function on the sequence of Pólya peaks. Zbl 0711.30032 Eremenko, A. Eh.; Sodin, M. L.; Shea, D. F. 2 1990 Variations on the theme of M. Riesz and Kolmogorov. Zbl 0923.30019 Matsaev, Vladimir; Sodin, Mikhail 1 1999 Equidistribution for sequences of polynomial mappings. Zbl 0853.32006 Russakovskij, Alexander; Sodin, Mikhail 1 1995 A remark concerning the limit sets of subharmonic functions of a natural order on the plane. Zbl 0561.31002 Sodin, M. L. 1 1983 Exceptional values in the sense of R. Nevanlinna and in the sense of V. P. Petrenko. I. Zbl 0636.30029 Gol’dberg, A. A.; Eremenko, A. Eh.; Sodin, M. L. 1 1987 Zeros and unities of entire functions of finite order. Zbl 0654.30020 Sodin, M. L. 1 1988 The infinite-dimensional real Jacobi inversion problem, and Hardy spaces of character-automorphic functions. Zbl 0842.30030 Sodin, M. L.; Yuditskij, P. M. 1 1994 Infinite-zone Jacobi matrices with pseudo-extendible Weyl functions and homogeneous spectrum. Zbl 0857.47021 Sodin, M. L.; Yuditskij, P. M. 1 1994 Density of polynomials and the Hamburger moment problem. Zbl 0996.47018 Borichev, Alexander; Sodin, Mikhail 1 1998 Relation between the sets of defect values and deviations for a meromorphic function of a finite order. Zbl 0466.30024 Sodin, M. L. 1 1981 Lower bounds for quasianalytic functions. II: The Bernstein quasianalytic functions. Zbl 1064.30033 Borichev, A.; Nazarov, F.; Sodin, M. 1 2004 Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. I. Zbl 0694.30029 Gol’dberg, A. A.; Eremenko, A. Eh.; Sodin, M. L. 1 1990 A hypothesis of Littlewood and the distribution of values of entire functions. Zbl 0601.30039 Eremenko, A. Eh.; Sodin, M. L. 1 1986 The random Weierstrass zeta function. II: Fluctuations of the electric flux through rectifiable curves. Zbl 1523.60091 Sodin, Mikhail; Wennman, Aron; Yakir, Oren 1 2023 The random Weierstrass zeta function. I: Existence, uniqueness, fluctuations. Zbl 1523.60092 Sodin, Mikhail; Wennman, Aron; Yakir, Oren 1 2023 Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. II. Zbl 0698.30031 Gol’dberg, A. A.; Eremenko, A. Eh.; Sodin, M. L. 1 1990 Angular distribution of values of meromorphic functions of finite order. Zbl 0722.30017 Sodin, M. L. 1 1990 Notes on the Szegő minimum problem. II: Singular measures. Zbl 1456.30062 Borichev, Alexander; Kononova, Anna; Sodin, Mikhail 1 2020 Meromorphic functions of finite order with maximal deficiency sum. Zbl 0773.30031 Eremenko, A. Eh.; Sodin, M. L. 1 1991 Meromorphic functions of completely regular growth and their logarithmic derivatives. Zbl 0788.30014 Gol’dberg, A. A.; Sodin, M. L.; Strochik, N. N. 1 1992 Subharmonic functions of finite degree bounded on subsets of the “real hyperplane”. Zbl 0773.31001 Levin, B. Ya.; Logvinenko, V. N.; Sodin, M. L. 1 1992 The second fundamental theorem of value distribution theory of meromorphic curves for nonlinear divisors. Zbl 0736.30023 Eremenko, A. Eh.; Sodin, M. L. 1 1990 The “pits effect” for entire functions of exponential type and the Wiener spectrum. Zbl 1482.30002 Benatar, Jacques; Borichev, Alexander; Sodin, Mikhail 1 2021 The random Weierstrass zeta function. II: Fluctuations of the electric flux through rectifiable curves. Zbl 1523.60091 Sodin, Mikhail; Wennman, Aron; Yakir, Oren 1 2023 The random Weierstrass zeta function. I: Existence, uniqueness, fluctuations. Zbl 1523.60092 Sodin, Mikhail; Wennman, Aron; Yakir, Oren 1 2023 A discrete harmonic function bounded on a large portion of \({\mathbb{Z}^2}\) is constant. Zbl 1494.31002 Buhovsky, Lev; Logunov, Alexander; Malinnikova, Eugenia; Sodin, Mikhail 4 2022 The “pits effect” for entire functions of exponential type and the Wiener spectrum. Zbl 1482.30002 Benatar, Jacques; Borichev, Alexander; Sodin, Mikhail 1 2021 Eigenfunctions with infinitely many isolated critical points. Zbl 1459.35295 Buhovsky, Lev; Logunov, Alexander; Sodin, Mikhail 9 2020 Fluctuations in the number of nodal domains. Zbl 1455.60060 Nazarov, Fedor; Sodin, Mikhail 9 2020 Notes on the Szegő minimum problem. I: Measures with deep zeroes. Zbl 1461.30085 Borichev, Alexander; Kononova, Anna; Sodin, Mikhail 3 2020 Notes on the Szegő minimum problem. II: Singular measures. Zbl 1456.30062 Borichev, Alexander; Kononova, Anna; Sodin, Mikhail 1 2020 Translation-invariant probability measures on entire functions. Zbl 1435.30012 Buhovsky, Lev; Glücksam, Adi; Logunov, Alexander; Sodin, Mikhail 8 2019 Hole probability for zeroes of Gaussian Taylor series with finite radii of convergence. Zbl 1454.30001 Buckley, Jeremiah; Nishry, Alon; Peled, Ron; Sodin, Mikhail 8 2018 Spectra of stationary processes on \(\mathbb{Z}\). Zbl 1405.60045 Borichev, Alexander; Sodin, Mikhail; Weiss, Benjamin 7 2018 Fluctuations of the increment of the argument for the Gaussian entire function. Zbl 1373.60068 Buckley, Jeremiah; Sodin, Mikhail 8 2017 Entire functions of exponential type represented by pseudo-random and random Taylor series. Zbl 1387.30031 Borichev, Alexander; Nishry, Alon; Sodin, Mikhail 5 2017 On functions \(K\) and \(E\) generated by a sequence of moments. Zbl 1383.30011 Kiro, Avner; Sodin, Mikhail 3 2017 Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions. Zbl 1358.60057 Nazarov, F.; Sodin, M. 86 2016 Lectures on random nodal portraits. Zbl 1388.60093 Sodin, Mikhail 18 2016 Distribution of zeroes of Rademacher Taylor series. Zbl 1352.30001 Nazarov, Fedor; Nishry, Alon; Sodin, Mikhail 3 2016 Log-integrability of Rademacher Fourier series, with applications to random analytic functions. Zbl 1304.42014 Nazarov, F.; Nishry, A.; Sodin, M. 9 2014 Correlation functions for random complex zeroes: Strong clustering and local universality. Zbl 1238.60059 Nazarov, F.; Sodin, M. 24 2012 Fluctuations in random complex zeroes: asymptotic normality revisited. Zbl 1242.60051 Nazarov, F.; Sodin, M. 23 2011 Random complex zeroes and random nodal lines. Zbl 1296.30005 Nazarov, Fedor; Sodin, Mikhail 17 2011 Weighted exponential approximation and non-classical orthogonal spectral measures. Zbl 1229.41018 Borichev, Alexander; Sodin, Mikhail 15 2011 What is …a Gaussian entire function? Zbl 1198.30004 Nazarov, Fedor; Sodin, Mikhail 12 2010 Uniformly spread measures and vector fields. Zbl 1288.28001 Sodin, M.; Tsirelson, B. 4 2010 On the number of nodal domains of random spherical harmonics. Zbl 1186.60022 Nazarov, Fedor; Sodin, Mikhail 91 2009 The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes. Zbl 1221.30008 Nazarov, F.; Sodin, M.; Volberg, A. 14 2008 Transportation to random zeroes by the gradient flow. Zbl 1153.60027 Nazarov, Fedor; Sodin, Mikhail; Volberg, Alexander 17 2007 Nodal inequalities on surfaces. Zbl 1127.58029 Polterovich, Leonid; Sodin, Mikhail 4 2007 Random complex zeroes. II. Perturbed lattice. Zbl 1125.60033 Sodin, Mikhail; Tsirelson, Boris 12 2006 Random complex zeroes. III: Decay of the hole probability. Zbl 1130.60308 Sodin, Mikhail; Tsirelson, Boris 31 2005 Zeroes of Gaussian analytic functions. Zbl 1073.60058 Sodin, Mikhail 16 2005 Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026 Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail 16 2005 Random complex zeroes. I: Asymptotic normality. Zbl 1072.60043 Sodin, Mikhail; Tsirelson, Boris 61 2004 Lower bounds for quasianalytic functions. I: How to control smooth functions. Zbl 1064.30032 Nazarov, F.; Sodin, M.; Volberg, A. 16 2004 A growth gap for diffeomorphisms of the interval. Zbl 1056.37027 Polterovich, Leonid; Sodin, Mikhail 11 2004 Lower bounds for quasianalytic functions. II: The Bernstein quasianalytic functions. Zbl 1064.30033 Borichev, A.; Nazarov, F.; Sodin, M. 1 2004 The geometric Kannan-Lovász-Simonovits lemma, dimension-free estimates for the distribution of the values of polynomials, and the distribution of the zeros of random analytic functions. Zbl 1030.60040 Nazarov, F.; Sodin, M.; Vol’berg, A. 29 2003 Local dimension-free estimates for volumes of sublevel sets of analytic functions. Zbl 1031.32008 Nazarov, F.; Sodin, M.; Volberg, A. 6 2003 Asymptotics of Fourier and Laplace transforms in weighted spaces of analytic functions. Zbl 1044.42003 Matsaev, V.; Sodin, M. 5 2003 Variations on the theme of Marcinkiewicz’ inequality. Zbl 1043.31002 Matsaev, V.; Ostrovskii, I.; Sodin, M. 4 2002 Krein’s entire functions and the Bernstein approximation problem. Zbl 0989.41003 Borichev, Alexander; Sodin, Mikhail 9 2001 Entire functions and compact operators with \(S_p\)-imaginary component. Zbl 1057.47505 Matsaev, Vladimir; Sodin, Mikhail 2 2001 Zeros of Gaussian analytic functions. Zbl 0986.60065 Sodin, M. 23 2000 Distribution of Hilbert transforms of measures. Zbl 0948.44001 Matsaev, V.; Sodin, M. 6 2000 Lars Ahlfors’ thesis. Zbl 1004.30019 Sodin, Mikhail 4 2000 Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type: Addendum. Zbl 0989.47010 Atzmon, A.; Sodin, M. 2 2000 Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type. Zbl 0945.47012 Atzmon, A.; Sodin, M. 7 1999 Spectral inclusion and analytic continuation. Zbl 1015.46028 Atzmon, A.; Eremenko, A.; Sodin, M. 6 1999 Weighted polynomial approximation and the Hamburger moment problem. Zbl 0978.44003 Borichev, Alexander; Sodin, Mikhail 4 1999 Variations on the theme of M. Riesz and Kolmogorov. Zbl 0923.30019 Matsaev, Vladimir; Sodin, Mikhail 1 1999 The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line. Zbl 0959.44011 Borichev, Alexander; Sodin, Mikhail 21 1998 Anatolii Asirovich Gol’dberg. Zbl 1054.01007 Eremenko, A.; Ostrovskii, I.; Sodin, M. 5 1998 Hahn decomposition for the Riesz charge of \(\delta\) subharmonic functions. Zbl 1023.31005 Sodin, Mikhail 3 1998 Density of polynomials and the Hamburger moment problem. Zbl 0996.47018 Borichev, Alexander; Sodin, Mikhail 1 1998 Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions. Zbl 1041.47502 Sodin, Mikhail; Yuditskii, Peter 86 1997 Another approach to De Branges’ theorem on weighted polynomial approximation. Zbl 0897.41005 Sodin, Mikhail; Yuditskii, Peter 11 1997 Which perturbations of quasianalytic weights preserve quasianalyticity? How to use de Branges’ theorem. Zbl 0867.41009 Sodin, Mikhail 8 1996 Almost-periodic Sturm-Liouville operators with homogeneous spectrum. Zbl 0844.34089 Sodin, Mikhail; Yuditskij, Peter 5 1996 A note on the Hall-Mergelyan theme. Zbl 0872.44004 Sodin, Mikhail 3 1996 A remark to the definition of Nevanlinna matrices. Zbl 0882.30017 Sodin, Mikhail 2 1996 Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum. Zbl 0846.34024 Sodin, Mikhail; Yuditskij, Peter 36 1995 Equidistribution for sequences of polynomial mappings. Zbl 0853.32006 Russakovskij, Alexander; Sodin, Mikhail 1 1995 Ruelle operators with rational weights for Julia sets. Zbl 0988.37026 Levin, G.; Sodin, M.; Yuditskii, P. 6 1994 An elementary proof of Benedicks’ and Carleson’s estimates of harmonic measure of linear sets. Zbl 0808.30017 Sodin, Mikhail 2 1994 On the distribution of zeros of a Ruelle zeta-function. Zbl 0788.58045 Eremenko, A.; Levin, G.; Sodin, M. 2 1994 Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum and pseudoextendible Weyl functions. Zbl 0868.34063 Sodin, M. L.; Yuditskij, P. M. 2 1994 The infinite-dimensional real Jacobi inversion problem, and Hardy spaces of character-automorphic functions. Zbl 0842.30030 Sodin, M. L.; Yuditskij, P. M. 1 1994 Infinite-zone Jacobi matrices with pseudo-extendible Weyl functions and homogeneous spectrum. Zbl 0857.47021 Sodin, M. L.; Yuditskij, P. M. 1 1994 Functions deviating least from zero on closed subsets of the real axis. Zbl 0791.41021 Sodin, M. L.; Yuditskij, P. M. 27 1992 Functions least deviating from zero on closed subsets of the real axis. Zbl 0766.41019 Sodin, M. L.; Yuditskij, P. M. 11 1992 Value distribution of sequences of rational functions. Zbl 0793.30026 Sodin, M. 7 1992 Polynomials with the nonconnected Julia set and the Green mapping. Zbl 0792.30019 Levin, G. M.; Sodin, M. L. 5 1992 Parametrization of entire functions of sine-type by their critical values. Zbl 0770.30021 Eremenko, A. E.; Sodin, M. L. 4 1992 On the Riesz charge of the lower envelope of \(\delta\)-subharmonic functions. Zbl 1081.31500 Eremenko, Alexandre; Fuglede, Bent; Sodin, Mikhail 2 1992 Meromorphic functions of completely regular growth and their logarithmic derivatives. Zbl 0788.30014 Gol’dberg, A. A.; Sodin, M. L.; Strochik, N. N. 1 1992 Subharmonic functions of finite degree bounded on subsets of the “real hyperplane”. Zbl 0773.31001 Levin, B. Ya.; Logvinenko, V. N.; Sodin, M. L. 1 1992 The value distribution of meromorphic functions and meromorphic curves from the point of view of potential theory. Zbl 0791.30028 Eremenko, A. Eh.; Sodin, M. L. 16 1991 A Ruelle operator for a real Julia set. Zbl 0749.58039 Levin, G. M.; Sodin, M. L.; Yuditskij, P. M. 11 1991 Value distribution of meromorphic functions and meromorphic curves from the point of view of potential theory. Zbl 0748.30026 Eremenko, A. Eh.; Sodin, M. L. 9 1991 Algebraic solution of a problem of E. I. Zolotarev and N. I. Akhiezer on polynomials with smallest deviation from zero. Zbl 0839.41004 Sodin, M. L.; Yuditskij, P. M. 8 1991 Algebraic solution of problems of E.I. Zolotarev and N.I. Akhiezer on polynomials least deviating from zero. Zbl 0761.41006 Sodin, M. L.; Yuditskij, P. M. 2 1991 Meromorphic functions of finite order with maximal deficiency sum. Zbl 0773.30031 Eremenko, A. Eh.; Sodin, M. L. 1 1991 The limit-periodic finite-difference operator on \(l^ 2(\mathbf Z)\) associated with iterations of quadratic polynomials. Zbl 1086.37519 Sodin, M.; Yuditski, P. 5 1990 Iterations of rational functions and the distribution of the values of the Poincaré functions. Zbl 0784.30019 Eremenko, A. Eh.; Sodin, M. L. 3 1990 Minimum of the modulus of an entire function on the sequence of Pólya peaks. Zbl 0711.30032 Eremenko, A. Eh.; Sodin, M. L.; Shea, D. F. 2 1990 Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. I. Zbl 0694.30029 Gol’dberg, A. A.; Eremenko, A. Eh.; Sodin, M. L. 1 1990 Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. II. Zbl 0698.30031 Gol’dberg, A. A.; Eremenko, A. Eh.; Sodin, M. L. 1 1990 Angular distribution of values of meromorphic functions of finite order. Zbl 0722.30017 Sodin, M. L. 1 1990 The second fundamental theorem of value distribution theory of meromorphic curves for nonlinear divisors. Zbl 0736.30023 Eremenko, A. Eh.; Sodin, M. L. 1 1990 The ray growth, distribution of roots with respect to arguments of an entire function of a finite order and a certain uniqueness theorem. Zbl 0681.30016 Grishin, A. F.; Sodin, M. L. 6 1988 Proof of a conditional theorem of Littlewood on the distribution of values of entire functions. Zbl 0638.30029 Erëmenko, A. Eh.; Sodin, M. L. 2 1988 Zeros and unities of entire functions of finite order. Zbl 0654.30020 Sodin, M. L. 1 1988 Proof of a conditional theorem of Littlewood on the value distribution of entire functions. Zbl 0627.30025 Eremenko, A. Eh.; Sodin, M. L. 3 1987 Exceptional values in the sense of R. Nevanlinna and in the sense of V. P. Petrenko. I. Zbl 0636.30029 Gol’dberg, A. A.; Eremenko, A. Eh.; Sodin, M. L. 1 1987 A hypothesis of Littlewood and the distribution of values of entire functions. Zbl 0601.30039 Eremenko, A. Eh.; Sodin, M. L. 1 1986 A remark concerning the limit sets of subharmonic functions of a natural order on the plane. Zbl 0561.31002 Sodin, M. L. 1 1983 Relation between the sets of defect values and deviations for a meromorphic function of a finite order. Zbl 0466.30024 Sodin, M. L. 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 574 Authors 35 Sodin, Mikhail 30 Yuditskii, Peter Meerovich 19 Wigman, Igor 18 Simon, Barry 16 Zinchenko, Maxim 14 Muirhead, Stephen 13 Beliaev, Dmitri B. 12 Christiansen, Jacob Stordal 12 Levin, Genadi M. 11 Borichev, Aleksandr Aleksandrovich 11 Damanik, David 11 Alexandre Eremenko 11 Khabibullin, Bulat Nurmievich 11 Nishry, Alon 11 Rivera, Alejandro 9 Eichinger, Benjamin 9 Lukic, Milivoje 9 Lundberg, Erik 8 Gayet, Damien 8 Gesztesy, Fritz 8 Lerario, Antonio 8 Poltoratski, Alexei G. 7 Baranov, Anton D. 7 Buckley, Jeremiah 7 Cammarota, Valentina 7 Marinucci, Domenico 7 Peherstorfer, Franz 6 Alpan, Gökalp 6 Bakan, Andrew G. 6 Krishnapur, Manjunath 6 Nazarov, Fedor L. 6 Vanneuville, Hugo 6 Volberg, Alexander Lvovich 5 Bessonov, Roman V. 5 Enciso, Alberto 5 Feldheim, Naomi Dvora 5 Ghosh, Subhroshekhar 5 Goldstein, Michael 5 Helffer, Bernard 5 Logunov, Alexander Andreevich 5 Malinnikova, Eugenia 5 Nguyen, Oanh 5 Okuyama, Yûsuke 5 Peccati, Giovanni 5 Peralta-Salas, Daniel 5 Sartori, Andrea 5 Stecconi, Michele 5 Vögel, Martin 5 Welschinger, Jean-Yves 5 Woracek, Harald 4 Ancona, Michele 4 Band, Ram 4 Bayraktar, Turgay 4 Bérard, Pierre H. 4 Canzani, Yaiza 4 Dragović, Vladimir 4 Fang, Xiang 4 Gaĭsin, Rashit Akhtyarovich 4 Glücksam, Adi 4 Grivaux, Sophie 4 Hedenmalm, Håkan 4 Kurlberg, Pär 4 Letendre, Thomas 4 McAuley, Michael 4 Navas, Andrés 4 Nicolaescu, Liviu I. 4 Peres, Yuval 4 Poly, Guillaume 4 Romaniega, Álvaro 4 Rossi, Maurizia 4 Shirai, Tomoyuki 4 Todino, Anna Paola 4 Totik, Vilmos 4 Tsirelson, Boris 4 Wennman, Aron 4 Yakir, Oren 3 Andrievskii, Vladimir V. 3 Angst, Jürgen 3 Atzmon, Aharon 3 Bandtlow, Oscar F. 3 Berkolaiko, Gregory 3 Bogachev, Vladimir Igorevich 3 Bourgain, Jean 3 Breuer, Jonathan 3 Brudnyi, Alexander 3 Chatterjee, Sourav 3 Coman, Dan 3 Dalmao, Federico 3 Do, Yen Q. 3 Duminil-Copin, Hugo 3 Eswarathasan, Suresh 3 Feng, Renjie 3 Georgiev, Bogdan 3 Goncharov, Alexander P. 3 Hanin, Boris L. 3 Johnson, Russell Allan 3 Kabluchko, Zakhar A. 3 Kiro, Avner 3 Kononova, Anna Aleksandrovna 3 Kosov, Egor D. ...and 474 more Authors all top 5 Cited in 175 Serials 32 Communications in Mathematical Physics 26 Journal d’Analyse Mathématique 21 Israel Journal of Mathematics 21 Journal of Functional Analysis 20 Proceedings of the American Mathematical Society 19 Advances in Mathematics 17 Journal of Approximation Theory 15 Journal of Mathematical Analysis and Applications 15 Journal of Statistical Physics 15 Electronic Journal of Probability 13 The Annals of Probability 13 Constructive Approximation 10 Duke Mathematical Journal 10 Probability Theory and Related Fields 9 Inventiones Mathematicae 9 Transactions of the American Mathematical Society 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Stochastic Processes and their Applications 8 Computational Methods and Function Theory 7 The Journal of Geometric Analysis 7 Geometric and Functional Analysis. GAFA 6 Annales de l’Institut Fourier 6 Journal of the London Mathematical Society. Second Series 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 St. Petersburg Mathematical Journal 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 5 Journal of Mathematical Physics 5 Mathematical Notes 5 Nonlinearity 5 Discrete & Computational Geometry 5 Potential Analysis 5 Annales Henri Poincaré 5 Oberwolfach Reports 5 Analysis & PDE 5 Analysis and Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Functional Analysis and its Applications 4 Integral Equations and Operator Theory 4 Journal of Differential Equations 4 Journal of Soviet Mathematics 4 Journal of Theoretical Probability 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Mathematical Sciences (New York) 4 Electronic Communications in Probability 4 Sbornik: Mathematics 4 Lobachevskii Journal of Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Science China. Mathematics 4 Annales Henri Lebesgue 3 Acta Mathematica 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the London Mathematical Society. Third Series 3 Ergodic Theory and Dynamical Systems 3 Communications in Partial Differential Equations 3 Foundations of Computational Mathematics 3 Complex Analysis and Operator Theory 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Dolomites Research Notes on Approximation 3 Arnold Mathematical Journal 3 Probability and Mathematical Physics 2 Indian Journal of Pure & Applied Mathematics 2 Letters in Mathematical Physics 2 Studia Mathematica 2 Arkiv för Matematik 2 Acta Mathematica Vietnamica 2 American Journal of Mathematics 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Proceedings of the Japan Academy. Series A 2 Journal of Complexity 2 Revista Matemática Iberoamericana 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Journal of Dynamics and Differential Equations 2 Russian Mathematics 2 Experimental Mathematics 2 Theory of Probability and Mathematical Statistics 2 Selecta Mathematica. New Series 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 Conformal Geometry and Dynamics 2 Matematychni Studiï 2 Acta Mathematica Sinica. English Series 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Spectral Theory 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Forum of Mathematics, Sigma 2 Séminaire Laurent Schwartz. EDP et Applications 2 Transactions of the American Mathematical Society. Series B 2 Journal of Applied and Computational Topology 2 Tunisian Journal of Mathematics 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Analysis Mathematica 1 General Relativity and Gravitation 1 Rocky Mountain Journal of Mathematics ...and 75 more Serials all top 5 Cited in 47 Fields 224 Probability theory and stochastic processes (60-XX) 200 Functions of a complex variable (30-XX) 94 Operator theory (47-XX) 80 Partial differential equations (35-XX) 70 Dynamical systems and ergodic theory (37-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 58 Several complex variables and analytic spaces (32-XX) 52 Global analysis, analysis on manifolds (58-XX) 48 Approximations and expansions (41-XX) 45 Ordinary differential equations (34-XX) 42 Potential theory (31-XX) 37 Functional analysis (46-XX) 33 Algebraic geometry (14-XX) 31 Statistical mechanics, structure of matter (82-XX) 30 Special functions (33-XX) 26 Differential geometry (53-XX) 25 Measure and integration (28-XX) 24 Real functions (26-XX) 22 Number theory (11-XX) 22 Quantum theory (81-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 13 Convex and discrete geometry (52-XX) 11 Combinatorics (05-XX) 11 Difference and functional equations (39-XX) 9 Abstract harmonic analysis (43-XX) 9 Integral transforms, operational calculus (44-XX) 9 Statistics (62-XX) 7 General and overarching topics; collections (00-XX) 6 Manifolds and cell complexes (57-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 5 Numerical analysis (65-XX) 4 Mathematical logic and foundations (03-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year